A box contains 3 blue cards numbered 1 through 3, and 4 green cards numbered 1 through 4. List the sample space of picking a blue card followed be a green card.
To list the sample space of picking a blue card followed by a green card, we need to consider all the possible combinations of picking a blue card and then picking a green card.
First, let's list all the possibilities for picking a blue card from the box. Since there are 3 blue cards numbered 1 through 3, the possible outcomes for picking a blue card are:
1. Blue 1
2. Blue 2
3. Blue 3
Next, let's list all the possibilities for picking a green card from the box. Since there are 4 green cards numbered 1 through 4, the possible outcomes for picking a green card are:
1. Green 1
2. Green 2
3. Green 3
4. Green 4
Now, we can combine each of the blue card outcomes with each of the green card outcomes to form the sample space of picking a blue card followed by a green card:
1. Blue 1, Green 1
2. Blue 1, Green 2
3. Blue 1, Green 3
4. Blue 1, Green 4
5. Blue 2, Green 1
6. Blue 2, Green 2
7. Blue 2, Green 3
8. Blue 2, Green 4
9. Blue 3, Green 1
10. Blue 3, Green 2
11. Blue 3, Green 3
12. Blue 3, Green 4
So, the sample space of picking a blue card followed by a green card consists of 12 possible outcomes.